Evolution Equations of von Karman Type

• Main Authors: Cherrier, Pascal (Author), Milani, Albert (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: 1st ed. 2015.
• Series: Lecture Notes of the Unione Matematica Italiana, 17
• Subjects: Mathematics.; Partial differential equations.; Differential geometry.; Physics.; Partial Differential Equations.; Mathematical Methods in Physics.; Differential Geometry.

In these notes we consider two kinds of nonlinear evolution problems of von Karman type on Euclidean spaces of arbitrary even dimension. Each of these problems consists of a system that results from the coupling of two highly nonlinear partial differential equations, one hyperbolic or parabolic and...

Table of Contents:

• Operators and Spaces
• Weak Solutions
•  Strong Solutions, m + k _ 4
• Semi-Strong Solutions, m = 2, k = 1.